Whenever you use an inclined plane. De is greater than dr?
No, the statement is incorrect. When using an inclined plane, the effort (force applied to move an object) is typically less than the resistance (force opposing the motion). This is due to the mechanical advantage provided by the inclined plane.
The mechanical advantage of an inclined plane can be calculated using the formula:
\[Mechanical\: Advantage (MA) = \frac{Length\: of\: inclined\: plane (L)}{Height\: of\: inclined\: plane (h)}\]
Since the inclined plane length is typically longer than the height, the mechanical advantage is greater than 1. That means the effort force (De) required to move an object up the inclined plane is less than the resistance force (Dr) acting against the motion.
De is less 5han dr.
Apologies for the confusion in the previous response. In the case of an inclined plane, the effort force (De) required to move an object up the incline is greater than the resistance force (Dr) acting against the motion. This is because the inclined plane reduces the vertical height that the object needs to be lifted, but it lengthens the distance it needs to be moved horizontally. Therefore, more effort force is needed to overcome the resistance force and move the object up the inclined plane.
When using an inclined plane, the force required to move an object up the plane (called de) is generally greater than the force required to move the object along a flat surface (called dr).
This is because the inclined plane increases the distance over which the force is applied. When an object is moved along a flat surface, the force is applied directly opposite to the direction of motion, resulting in a shorter distance over which the force is applied.
On the other hand, when an object is moved up an inclined plane, the force needs to be applied at an angle to the direction of motion. This means that the force applied is effectively split into two components: one parallel to the plane (dr) and one perpendicular to the plane (de). Since the force needed to overcome gravity acting on the object is proportional to the weight of the object multiplied by the sine of the angle of inclination, the force required to move the object up the inclined plane (de) is greater than the force required to move it along a flat surface (dr).